Bifurcations of the Logistic Map

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The sequence exhibits complicated behavior for certain values of the parameter
. When
, the sequence converges to a fixed point, but around
this fixed point bifurcates into an attracting two-cycle. As
increases further, the attractors continue to bifurcate until the sequence displays chaotic behavior around
.
Contributed by: Rob Morris (March 2011)
Open content licensed under CC BY-NC-SA
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"Bifurcations of the Logistic Map"
http://demonstrations.wolfram.com/BifurcationsOfTheLogisticMap/
Wolfram Demonstrations Project
Published: March 7 2011